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Post-processing is a significant step in quantum key distribution(QKD), which is used for correcting the quantum-channel noise errors and distilling identical corrected keys between two distant legitimate parties. Efficient error…

Quantum Physics · Physics 2019-05-09 Chaohui Gao , Dong Jiang , Liangliang Lu , Yu Guo , Lijun Chen

This paper presents a low-overhead optimizer for the ubiquitous sparse matrix-vector multiplication (SpMV) kernel. Architectural diversity among different processors together with structural diversity among different sparse matrices lead to…

Performance · Computer Science 2017-11-16 Athena Elafrou , Georgios Goumas , Nektarios Koziris

In this paper, we introduce novel fast matrix inversion algorithms that leverage triangular decomposition and recurrent formalism, incorporating Strassen's fast matrix multiplication. Our research places particular emphasis on triangular…

Numerical Analysis · Mathematics 2026-02-05 Mohamed Kamel Riahi

Fully Homomorphic Encryption (FHE) relies heavily on the Number Theoretic Transform (NTT), making NTT a major performance bottleneck due to its intensive polynomial computations. Hybrid Homomorphic Encryption (HHE), which integrates…

Hardware Architecture · Computer Science 2026-03-03 Hang Gu , Teng Wang , Qianyu Cheng , Jinao Li , Zhendong Zheng , Lei Gong , Wenqi Lou , Xi Li , Xuehai Zhou

Lattice-based cryptography (LBC) exploiting Learning with Errors (LWE) problems is a promising candidate for post-quantum cryptography. Number theoretic transform (NTT) is the latency- and energy- dominant process in the computation of LWE…

Cryptography and Security · Computer Science 2022-02-18 Dai Li , Akhil Pakala , Kaiyuan Yang

Mixed-precision quantization is a popular approach for compressing deep neural networks (DNNs). However, it is challenging to scale the performance efficiently with mixed-precision DNNs given the current FPGA architecture and conventional…

Hardware Architecture · Computer Science 2023-11-07 Yuzong Chen , Jordan Dotzel , Mohamed S. Abdelfattah

Large matrix multiplication is a cornerstone of modern machine learning workloads, yet traditional approaches suffer from cubic computational complexity (e.g., $\mathcal{O}(n^3)$ for a matrix of size $n\times n$). We present Low-Rank GEMM,…

Performance · Computer Science 2025-11-25 Alfredo Metere

Fast time-domain algorithms have been developed in signal processing applications to reduce the multiplication complexity. For example, fast convolution structures using Cook-Toom and Winograd algorithms are well understood. Short length…

Signal Processing · Electrical Eng. & Systems 2026-04-21 Keshab K. Parhi

The k-means algorithm is one of the most common clustering algorithms and widely used in data mining and pattern recognition. The increasing computational requirement of big data applications makes hardware acceleration for the k-means…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-23 Zhehao Li , Jifang Jin , Lingli Wang

Quantum-dot cellular automata (QCA) shows promise as a post silicon CMOS, low power computational technology. Nevertheless, to generalize QCA for next-generation digital devices, the ability to implement conventional programmable circuits…

Mesoscale and Nanoscale Physics · Physics 2011-10-10 Joshua D. Wood , P. Douglas Tougaw

Graph-cuts are widely used in computer vision. In order to speed up the optimization process and improve the scalability for large graphs, Strandmark and Kahl introduced a splitting method to split a graph into multiple subgraphs for…

Data Structures and Algorithms · Computer Science 2016-11-03 Miao Yu , Shuhan Shen , Zhanyi Hu

The capability of classifying and clustering a desired set of data is an essential part of building knowledge from data. However, as the size and dimensionality of input data increases, the run-time for such clustering algorithms is…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-25 Hadi Mardani Kamali

Compute in-memory (CIM) is a promising technique that minimizes data transport, the primary performance bottleneck and energy cost of most data intensive applications. This has found wide-spread adoption in accelerating neural networks for…

Hardware Architecture · Computer Science 2020-08-18 Brian Crafton , Samuel Spetalnick , Gauthaman Murali , Tushar Krishna , Sung-Kyu Lim , Arijit Raychowdhury

Cryptographic schemes like Fully Homomorphic Encryption (FHE) and Zero-Knowledge Proofs (ZKPs), while offering powerful privacy-preserving capabilities, are often hindered by their computational complexity. Polynomial multiplication, a core…

Cryptography and Security · Computer Science 2024-10-04 Rabimba Karanjai , Sangwon Shin , and Wujie Xiong , Xinxin Fan , Lin Chen , Tianwei Zhang , Taeweon Suh , Weidong Shi , Veronika Kuchta , Francesco Sica , Lei Xu

In recent years, quantum computers have emerged as promising candidates for implementing kernels. Quantum Embedding Kernels embed data points into quantum states and calculate their inner product in a high-dimensional Hilbert Space by…

Quantum Physics · Physics 2025-02-13 Rodrigo Coelho , Georg Kruse , Andreas Rosskopf

Symmetric tensor operations arise in a wide variety of computations. However, the benefits of exploiting symmetry in order to reduce storage and computation is in conflict with a desire to simplify memory access patterns. In this paper, we…

Numerical Analysis · Mathematics 2014-10-21 Martin D. Schatz , Tze Meng Low , Robert A. van de Geijn , Tamara G. Kolda

This paper presents a novel meta algorithm, Partition-Merge (PM), which takes existing centralized algorithms for graph computation and makes them distributed and faster. In a nutshell, PM divides the graph into small subgraphs using our…

Data Structures and Algorithms · Computer Science 2013-09-25 Vincent Blondel , Kyomin Jung , Pushmeet Kohli , Devavrat Shah

The Kernel Polynomial Method (KPM) is one of the fast diagonalization methods used for simulations of quantum systems in research fields of condensed matter physics and chemistry. The algorithm has a difficulty to be parallelized on a…

Computational Physics · Physics 2011-05-30 Shixun Zhang , Shinichi Yamagiwa , Masahiko Okumura , Seiji Yunoki

Post-quantum cryptography (PQC) must secure large-scale communication systems against quantum adversaries where classical hardness alone is insufficient and purely quantum schemes remain impractical. Lattice-based key encapsulation…

Quantum Physics · Physics 2025-11-18 Ilias Cherkaoui , Indrakshi Dey

The incorporation of high-performance optoelectronic devices into photonic neuromorphic processors can substantially accelerate computationally intensive operations in machine learning (ML) algorithms. However, the conventional device…

Emerging Technologies · Computer Science 2022-03-14 Yingheng Tang , Princess Tara Zamani , Ruiyang Chen , Jianzhu Ma , Minghao Qi , Cunxi Yu , Weilu Gao